Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792v |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-17176707072 = -1 · 214 · 34 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,527,4081] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:36:1] |
Generators of the group modulo torsion |
j |
986078000/1048383 |
j-invariant |
L |
4.8652753795717 |
L(r)(E,1)/r! |
Ω |
0.81612522101831 |
Real period |
R |
1.4903581136528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792cn1 7224g1 |
Quadratic twists by: -4 8 |